| 3(b) |
 |
 |
| Note the empty length 2 addresses are 22, 24, 32, and 33. Thus the forbidden
transitions are 2 → 2, 4 → 2, 2 → 3, and
3 → 3. These are the missing arrows in the graph on the right. |
| The pieces of the shape in squares with addresses 1 and 4 are copies of the
entire shape scaled by a factor of 0.5. The pieces of the shape in the squares
with addresses 21, 31, and 34 are copies of the entire shape scaled by a factor of 0.25.
Note the piece in address 23 is not a complete copy of teh whole shape, however the
pieces in the squares of address 231 and 234 are complete copies scaled by a factor
of 0.125. All have the same orientation as the original, so the IFS rules are these. |
| r |
s |
θ |
φ |
e |
f |
| 0.5 |
0.5 |
0 |
0 |
0.0 |
0.0 |
| 0.5 |
0.5 |
0 |
0 |
0.5 |
0.5 |
| 0.25 |
0.25 |
0 |
0 |
0.5 |
0.0 |
| 0.25 |
0.25 |
0 |
0 |
0.0 |
0.5 |
| 0.25 |
0.25 |
0 |
0 |
0.25 |
0.75 |
| 0.125 |
0.125 |
0 |
0 |
0.5 |
0.25 |
| 0.125 |
0.125 |
0 |
0 |
0.625 |
0.375 |
|